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102414606 = 23721013449
BaseRepresentation
bin1100001101010…
…11100100001110
321010201012102120
412012223210032
5202204231411
614055033410
72352336600
oct606534416
9233635376
10102414606
11528a0678
122a36b866
13182aa878
14d85d170
158ed0106
hex61ab90e

102414606 has 48 divisors (see below), whose sum is σ = 240699600. Its totient is φ = 28963200.

The previous prime is 102414581. The next prime is 102414629. The reversal of 102414606 is 606414201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27970 + ... + 31418.

It is an arithmetic number, because the mean of its divisors is an integer number (5014575).

Almost surely, 2102414606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120349800).

102414606 is an abundant number, since it is smaller than the sum of its proper divisors (138284994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102414606 is a wasteful number, since it uses less digits than its factorization.

102414606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102414606 is about 10120.0101778605. The cubic root of 102414606 is about 467.8650809123.

Adding to 102414606 its reverse (606414201), we get a palindrome (708828807).

It can be divided in two parts, 102414 and 606, that multiplied together give a square (62062884 = 78782).

The spelling of 102414606 in words is "one hundred two million, four hundred fourteen thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 707 1414 2121 3449 4242 4949 6898 9898 10347 14847 20694 24143 29694 48286 72429 144858 169001 338002 348349 507003 696698 1014006 1045047 2090094 2438443 4876886 7315329 14630658 17069101 34138202 51207303 102414606